A car which runs very slowly in the morning travels at a speed of $2t$ ft/s in the first $t$ seconds after it starts for $0\le t\le50$.

1. Draw the velocity versus time graph.

2. Use your graph to write an equation for the distance the car travels in the first $t$ seconds after it starts.

   Hint (b):

   Distance is the area under a velocity curve.

   Step (b):

   The area under the curve is a triangle. Therefore:

   $\text{distance}=\frac{(t)(f(t))}{2}$